Question

Evaluate the determinant of each matrix. [[3,-3],[0,5]]

Answer 1

To evaluate the determinant of a 2x2 matrix, use the formula: det(A) = ad - bc. Applying this formula to the given matrix, the determinant is 15.

Step-by-step explanation:

To evaluate the determinant of a 2x2 matrix, you can use the formula:

det(A) = ad - bc

where A is the matrix [[a, b],[c, d]].

In this case, the matrix is [[3, -3],[0, 5]].

So, the determinant is:

det([[3, -3],[0, 5]]) = (3 * 5) - ((-3) * 0) = 15

Therefore, the determinant of this matrix is 15.